带角的轨道上的微分形式

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2020-11-19 DOI:10.1142/S1793525323500048

Jake Solomon, Sara B. Tukachinsky

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引用次数: 3

摘要

我们给出了一个详细的帐户的微分形式和电流的轨道与角，拉回和推进的操作，和他们的基本性质。我们在带角的轨道的范畴作为带角的正则群类群范畴的一个局部化的形式体系中进行研究。构造和证明是根据群拟的结构图来表述的，避免了使用轨道图。证明了轨道上微分形式的Frechet空间与电流的对偶空间是独立的，与选择何种固有群面来表示轨道无关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Differential forms on orbifolds with corners

We give a detailed account of differential forms and currents on orbifolds with corners, the pull-back and push-forward operations, and their fundamental properties. We work within the formalism where the category of orbifolds with corners is obtained as a localization of the category of etale proper groupoids with corners. Constructions and proofs are formulated in terms of the structure maps of the groupoids, avoiding the use of orbifold charts. The Frechet space of differential forms on an orbifold and the dual space of currents are shown to be independent of which etale proper groupoid is chosen to represent the orbifold.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.